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Agricultural Engineering Gate 2025 Questions with Answer

Ques 1 GATE 2025

By tripling the RMS sound pressure, the resulting increase in the sound pressure level in dB is closest to:

A

9.54

B

6.02

C

4.77

D

3.01



Ques 2 GATE 2025

Considering acceleration due to gravity as 9.81 m.s-2 and π as 3.14, the critical speed of a ball mill having 3600 mm mill diameter and 160 mm ball diameter is ______ rpm. (Answer in integer)



Ques 3 GATE 2025

Match the following psychrometric processes (Column I) with the respective changes in thermodynamic properties (Column II) of air-water vapor mixture:

Column IColumn II
1 Sensible coolingP Dry bulb temperature increases and dew point temperature decreases
2 Cooling and dehumidificationQ Dry bulb temperature increases and dew point temperature increases
3 Chemical dehumidificationR Dry bulb temperature decreases and dew point temperature remains constant
4 Heating and humidificationS Dry bulb temperature decreases and dew point temperature decreases

A

1-R, 2-S, 3-Q, 4-P

B

1-P, 2-R, 3-S, 4-Q

C

1-R, 2-S, 3-P, 4-Q

D

1-P, 2-Q, 3-S, 4-R



Ques 4 GATE 2025

Locust beans having average particle diameter of 7 mm are ground at a rate of 10 ton.h-1 to produce average particle diameter of 0.62 mm. The mill consumes 6.7 kW power at the given rate. For the same rate of grinding, using Rittinger's law, the power required to grind the beans to an average particle diameter of 0.25 mm is ______ kW. (Rounded off to 2 decimal places)



Ques 5 GATE 2025

Apple juice (viscosity =1.6cP) is being filtered through a 2 m2 filter under a constant pressure. The juice has solid concentration of 0.04 g.mL-1 in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are 1.85×1011 m.kg-1 and 3.50×1011 m-1, respectively. The time required to filter 800 litres of juice is ______ hour. (Answer in integer)



Ques 6 GATE 2025

A cylindrical concrete silo of 6 m internal diameter and 24 m height is filled with rough rice having bulk density of 635 kg.m-3. The angle of friction between concrete wall and rough rice is 30°. The ratio between lateral and vertical pressure is 0.4. The ratio of lateral pressure at 10 m depth to the 5 m depth is ______ (Rounded off to 2 decimal places)



Ques 7 GATE 2025

If a, b, and c are the roots of 2x3-3x2+px-1=0 and sum of the two roots is 1, the value of p is:

A

2

B

1

C

3

D

1/3



Ques 8 GATE 2025

If the matrix is singular, sum of the values of x is:

A

5

B

4

C

0

D

-1



Ques 9 GATE 2025

s/(s2+a2) is the Laplace transform of:

A

cos at

B

sin at

C

sinh at

D

cosh at



Ques 10 GATE 2025

y''+p(x)y'+q(x)y=r(x) is a ______ ordinary differential equation.

A

second order, nonhomogeneous, and linear

B

second order, homogeneous, and linear

C

second order, homogeneous, and nonlinear

D

first order, nonhomogeneous, and linear



Ques 11 GATE 2025

The series Σn=0rqn=1+q+q2+···..... has the sum:

A

1/(1-q) - qr+1/(1-q)

B

1/(q-1) + qr+1/(q-1)

C

1/(1-q) + qr+1/(1-q)

D

1/(q-1)



Ques 12 GATE 2025

The value of limx→0(x cos x-sin x)/(x2sin x) is:

A

-1/3

B

1/3

C

3

D

-3



Ques 13 GATE 2025

If u=x4+y4+3x2y2, the value of (x&partial;u/&partial;x+y&partial;u/&partial;y)-1 is:

A

4u

B

1/(4u)

C

2u

D

1/(2u)



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